Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
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TLDR
In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.About:
This article is published in Journal of Computational Physics.The article was published on 1981-01-01. It has received 11567 citations till now. The article focuses on the topics: Volume of fluid method & Compressibility.read more
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A continuum method for modeling surface tension
TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
Journal ArticleDOI
A front-tracking method for viscous, incompressible, multi-fluid flows
TL;DR: In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.
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Direct numerical simulation of free-surface and interfacial flow
TL;DR: In this paper, the authors consider the formation of droplet clouds or sprays that subsequently burn in combustion chambers, which is caused by interfacial instabilities, such as the Kelvin-Helmholtz instability.
Journal ArticleDOI
Diffuse-interface methods in fluid mechanics
TL;DR: Issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids are addressed.
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Nonlinear dynamics and breakup of free-surface flows
TL;DR: In this article, the authors review the theoretical development of this field alongside recent experimental work, and outline unsolved problems, as well as a host of technological applications, ranging from printing to mixing and fiber spinning.
References
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Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
Journal ArticleDOI
Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane
J. C. Martin,W. J. Moyce +1 more
TL;DR: In this paper, an experimental study has been made of some aspects of the phenomena accompanying the collapse of liquid columns on to a rigid horizontal plane with air as the outer medium, including the two-dimensional collapse of rectangular and semicircular sections, and the three-dimensional axial collapse of right circular cylinders.
ReportDOI
SOLA: a numerical solution algorithm for transient fluid flows
TL;DR: In this article, a finite difference technique is presented for solving the Navier-Stokes equations for an incompressible fluid, based on the Marker-and-Cell method, to facilitate its use by persons with little or no experience in numerical fluid dynamics.
Journal ArticleDOI
Heuristic stability theory for finite-difference equations☆
TL;DR: In this article, a simple method is proposed for investigating the computational stability of finite-difference equations with variable coefficients, based on an examination of certain kinds of truncation errors, which is illustrated by applying it to a simple linear difference equation.
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